+1 vote
in Class 10 by kratos

Draw an angle ABC = 75° Draw the locus of all the points equidistant from AB and BC.

1 Answer

+4 votes
by kratos
 
Best answer

Steps of Construction:

i) Draw a ray BC.

ii) Construct a ray RA making an angle of 75° with BC. Therefore, ABC = ABC = 75°

iii) Draw the angle bisector BP of ∠ABC.

BP is the required locus.

iv) Take any point D on BP.

v) From D, draw DE ⊥ AB and DF ⊥ BC.

Since D **** on the angle bisector BP of ∠ABC.

D is equidistant from AB and BC.

Hence, DE = DF

Similarly, any point on BP is equidistant from AB and BC.

Therefore, BP is the locus of all points which are equidistant from AB and BC.

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